DLMF:19.20.E5 (Q6382)

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DLMF:19.20.E5
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    Statements

    test
    2 ⁢ R G ⁡ ( x , y , y ) = y ⁢ R C ⁡ ( x , y ) + x . 2 Carlson-integral-RG 𝑥 𝑦 𝑦 𝑦 Carlson-integral-RC 𝑥 𝑦 𝑥 {\displaystyle{\displaystyle 2R_{G}\left(x,y,y\right)=yR_{C}\left(x,y\right)+% \sqrt{x}.}}
    0 references
    DLMF id
    DLMF:19.20.E5
    0 references
    Symbols used
    Carlson’s combination of inverse circular and inverse hyperbolic functions
    test
    R C ⁡ ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}
    xml-id
    C19.S2.E17.m2aadec
    0 references
    symmetric elliptic integral of second kind
    test
    R G ⁡ ( x , y , z ) Carlson-integral-RG 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    xml-id
    C19.S16.E3.m2aadec
    0 references
     
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